%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEG023_1 : TPTP v8.1.2. Bugfixed v5.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 22:40:40 EDT 2023 % Result : Theorem 8.91s 2.00s % Output : Proof 16.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : GEG023_1 : TPTP v8.1.2. Bugfixed v5.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n025.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Mon Aug 28 01:10:39 EDT 2023 % 0.20/0.35 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.94/0.99 Prover 4: Preprocessing ... % 1.94/1.00 Prover 1: Preprocessing ... % 2.41/1.03 Prover 6: Preprocessing ... % 2.41/1.03 Prover 2: Preprocessing ... % 2.41/1.03 Prover 0: Preprocessing ... % 2.41/1.04 Prover 3: Preprocessing ... % 2.41/1.04 Prover 5: Preprocessing ... % 3.46/1.17 Prover 1: Constructing countermodel ... % 3.46/1.17 Prover 3: Constructing countermodel ... % 3.46/1.18 Prover 4: Constructing countermodel ... % 3.46/1.18 Prover 6: Proving ... % 3.46/1.19 Prover 0: Proving ... % 3.66/1.19 Prover 2: Proving ... % 3.66/1.21 Prover 5: Proving ... % 8.91/2.00 Prover 3: proved (1365ms) % 8.91/2.00 % 8.91/2.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.91/2.00 % 8.91/2.01 Prover 2: stopped % 8.91/2.01 Prover 5: stopped % 8.91/2.02 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.91/2.02 Prover 6: stopped % 8.91/2.02 Prover 0: stopped % 8.91/2.03 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.91/2.03 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.91/2.03 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.91/2.03 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.91/2.03 Prover 7: Preprocessing ... % 9.15/2.06 Prover 10: Preprocessing ... % 9.15/2.06 Prover 8: Preprocessing ... % 9.15/2.06 Prover 11: Preprocessing ... % 9.15/2.06 Prover 13: Preprocessing ... % 9.15/2.09 Prover 10: Constructing countermodel ... % 9.15/2.09 Prover 8: Warning: ignoring some quantifiers % 9.15/2.09 Prover 8: Constructing countermodel ... % 9.15/2.10 Prover 11: Constructing countermodel ... % 9.15/2.11 Prover 7: Constructing countermodel ... % 9.15/2.11 Prover 13: Warning: ignoring some quantifiers % 9.15/2.11 Prover 13: Constructing countermodel ... % 16.32/2.95 Prover 1: Found proof (size 71) % 16.32/2.95 Prover 1: proved (2318ms) % 16.32/2.95 Prover 11: stopped % 16.32/2.95 Prover 13: stopped % 16.32/2.95 Prover 10: stopped % 16.32/2.95 Prover 8: stopped % 16.32/2.95 Prover 7: stopped % 16.32/2.95 Prover 4: stopped % 16.32/2.95 % 16.32/2.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 16.32/2.95 % 16.48/2.97 % SZS output start Proof for theBenchmark % 16.48/2.97 Assumptions after simplification: % 16.48/2.97 --------------------------------- % 16.48/2.97 % 16.48/2.97 (city_distance_3) % 16.48/2.99 city(munich) & city(saarbruecken) & city(frankfurt) & city(cologne) & % 16.48/2.99 city(berlin) & city(hamburg) & city(kiel) & ? [v0: int] : ($lesseq(641, v0) & % 16.48/2.99 d(munich, saarbruecken) = 360 & d(munich, frankfurt) = 300 & d(saarbruecken, % 16.48/2.99 frankfurt) = 160 & d(saarbruecken, cologne) = 190 & d(cologne, frankfurt) % 16.48/2.99 = 150 & d(berlin, munich) = 510 & d(berlin, frankfurt) = 420 & d(berlin, % 16.48/2.99 cologne) = 480 & d(hamburg, frankfurt) = 390 & d(hamburg, cologne) = 360 & % 16.48/2.99 d(hamburg, berlin) = 250 & d(hamburg, kiel) = 90 & d(kiel, saarbruecken) = % 16.48/2.99 v0 & ! [v1: city] : ! [v2: city] : ! [v3: city] : ! [v4: int] : ! [v5: % 16.48/2.99 int] : ( ~ (d(v1, v3) = v5) | ~ (d(v1, v2) = v4) | ~ city(v3) | ~ % 16.48/2.99 city(v2) | ~ city(v1) | ? [v6: int] : ($lesseq(0, $sum($difference(v6, % 16.48/2.99 v5), v4)) & d(v2, v3) = v6)) & ! [v1: city] : ! [v2: city] : ! % 16.48/2.99 [v3: int] : ( ~ (d(v1, v2) = v3) | ~ city(v2) | ~ city(v1) | d(v2, v1) = % 16.48/2.99 v3) & ! [v1: city] : ! [v2: int] : (v2 = 0 | ~ (d(v1, v1) = v2) | ~ % 16.48/2.99 city(v1))) % 16.48/2.99 % 16.48/2.99 (function-axioms) % 16.48/2.99 ! [v0: int] : ! [v1: int] : ! [v2: city] : ! [v3: city] : (v1 = v0 | ~ % 16.48/2.99 (d(v3, v2) = v1) | ~ (d(v3, v2) = v0)) % 16.48/2.99 % 16.48/2.99 Those formulas are unsatisfiable: % 16.48/2.99 --------------------------------- % 16.48/2.99 % 16.48/2.99 Begin of proof % 16.48/2.99 | % 16.48/2.99 | ALPHA: (city_distance_3) implies: % 16.48/3.00 | (1) city(kiel) % 16.48/3.00 | (2) city(hamburg) % 16.48/3.00 | (3) city(berlin) % 16.48/3.00 | (4) city(cologne) % 16.48/3.00 | (5) city(frankfurt) % 16.48/3.00 | (6) city(saarbruecken) % 16.48/3.00 | (7) city(munich) % 16.48/3.00 | (8) ? [v0: int] : ($lesseq(641, v0) & d(munich, saarbruecken) = 360 & % 16.48/3.00 | d(munich, frankfurt) = 300 & d(saarbruecken, frankfurt) = 160 & % 16.48/3.00 | d(saarbruecken, cologne) = 190 & d(cologne, frankfurt) = 150 & % 16.48/3.00 | d(berlin, munich) = 510 & d(berlin, frankfurt) = 420 & d(berlin, % 16.48/3.00 | cologne) = 480 & d(hamburg, frankfurt) = 390 & d(hamburg, cologne) % 16.48/3.00 | = 360 & d(hamburg, berlin) = 250 & d(hamburg, kiel) = 90 & d(kiel, % 16.48/3.00 | saarbruecken) = v0 & ! [v1: city] : ! [v2: city] : ! [v3: city] % 16.48/3.00 | : ! [v4: int] : ! [v5: int] : ( ~ (d(v1, v3) = v5) | ~ (d(v1, v2) % 16.48/3.00 | = v4) | ~ city(v3) | ~ city(v2) | ~ city(v1) | ? [v6: int] : % 16.48/3.00 | ($lesseq(0, $sum($difference(v6, v5), v4)) & d(v2, v3) = v6)) & ! % 16.48/3.00 | [v1: city] : ! [v2: city] : ! [v3: int] : ( ~ (d(v1, v2) = v3) | ~ % 16.48/3.00 | city(v2) | ~ city(v1) | d(v2, v1) = v3) & ! [v1: city] : ! [v2: % 16.48/3.00 | int] : (v2 = 0 | ~ (d(v1, v1) = v2) | ~ city(v1))) % 16.48/3.00 | % 16.48/3.00 | DELTA: instantiating (8) with fresh symbol all_6_0 gives: % 16.48/3.01 | (9) $lesseq(641, all_6_0) & d(munich, saarbruecken) = 360 & d(munich, % 16.48/3.01 | frankfurt) = 300 & d(saarbruecken, frankfurt) = 160 & d(saarbruecken, % 16.48/3.01 | cologne) = 190 & d(cologne, frankfurt) = 150 & d(berlin, munich) = % 16.48/3.01 | 510 & d(berlin, frankfurt) = 420 & d(berlin, cologne) = 480 & % 16.48/3.01 | d(hamburg, frankfurt) = 390 & d(hamburg, cologne) = 360 & d(hamburg, % 16.48/3.01 | berlin) = 250 & d(hamburg, kiel) = 90 & d(kiel, saarbruecken) = % 16.48/3.01 | all_6_0 & ! [v0: city] : ! [v1: city] : ! [v2: city] : ! [v3: int] % 16.48/3.01 | : ! [v4: int] : ( ~ (d(v0, v2) = v4) | ~ (d(v0, v1) = v3) | ~ % 16.48/3.01 | city(v2) | ~ city(v1) | ~ city(v0) | ? [v5: int] : ($lesseq(0, % 16.48/3.01 | $sum($difference(v5, v4), v3)) & d(v1, v2) = v5)) & ! [v0: city] % 16.48/3.01 | : ! [v1: city] : ! [v2: int] : ( ~ (d(v0, v1) = v2) | ~ city(v1) | % 16.48/3.01 | ~ city(v0) | d(v1, v0) = v2) & ! [v0: city] : ! [v1: int] : (v1 = 0 % 16.48/3.01 | | ~ (d(v0, v0) = v1) | ~ city(v0)) % 16.48/3.01 | % 16.48/3.01 | ALPHA: (9) implies: % 16.48/3.01 | (10) $lesseq(641, all_6_0) % 16.48/3.01 | (11) d(kiel, saarbruecken) = all_6_0 % 16.48/3.01 | (12) d(hamburg, kiel) = 90 % 16.48/3.01 | (13) d(hamburg, berlin) = 250 % 16.48/3.01 | (14) d(hamburg, cologne) = 360 % 16.48/3.01 | (15) d(hamburg, frankfurt) = 390 % 16.48/3.01 | (16) d(berlin, frankfurt) = 420 % 16.48/3.01 | (17) d(cologne, frankfurt) = 150 % 16.48/3.01 | (18) d(saarbruecken, frankfurt) = 160 % 16.48/3.01 | (19) d(munich, frankfurt) = 300 % 16.48/3.01 | (20) d(munich, saarbruecken) = 360 % 16.48/3.01 | (21) ! [v0: city] : ! [v1: city] : ! [v2: int] : ( ~ (d(v0, v1) = v2) | % 16.48/3.01 | ~ city(v1) | ~ city(v0) | d(v1, v0) = v2) % 16.48/3.01 | (22) ! [v0: city] : ! [v1: city] : ! [v2: city] : ! [v3: int] : ! [v4: % 16.48/3.01 | int] : ( ~ (d(v0, v2) = v4) | ~ (d(v0, v1) = v3) | ~ city(v2) | ~ % 16.48/3.01 | city(v1) | ~ city(v0) | ? [v5: int] : ($lesseq(0, % 16.48/3.01 | $sum($difference(v5, v4), v3)) & d(v1, v2) = v5)) % 16.48/3.01 | % 16.48/3.01 | GROUND_INST: instantiating (21) with hamburg, kiel, 90, simplifying with (1), % 16.48/3.01 | (2), (12) gives: % 16.48/3.01 | (23) d(kiel, hamburg) = 90 % 16.48/3.01 | % 16.48/3.01 | GROUND_INST: instantiating (22) with hamburg, berlin, kiel, 250, 90, % 16.48/3.01 | simplifying with (1), (2), (3), (12), (13) gives: % 16.48/3.01 | (24) ? [v0: int] : ($lesseq(-160, v0) & d(berlin, kiel) = v0) % 16.48/3.01 | % 16.48/3.01 | GROUND_INST: instantiating (22) with hamburg, cologne, kiel, 360, 90, % 16.48/3.01 | simplifying with (1), (2), (4), (12), (14) gives: % 16.48/3.01 | (25) ? [v0: int] : ($lesseq(-270, v0) & d(cologne, kiel) = v0) % 16.48/3.01 | % 16.48/3.02 | GROUND_INST: instantiating (22) with hamburg, kiel, frankfurt, 90, 390, % 16.48/3.02 | simplifying with (1), (2), (5), (12), (15) gives: % 16.48/3.02 | (26) ? [v0: int] : ($lesseq(300, v0) & d(kiel, frankfurt) = v0) % 16.48/3.02 | % 16.48/3.02 | GROUND_INST: instantiating (22) with hamburg, frankfurt, kiel, 390, 90, % 16.48/3.02 | simplifying with (1), (2), (5), (12), (15) gives: % 16.48/3.02 | (27) ? [v0: int] : ($lesseq(-300, v0) & d(frankfurt, kiel) = v0) % 16.48/3.02 | % 16.48/3.02 | GROUND_INST: instantiating (21) with hamburg, frankfurt, 390, simplifying with % 16.48/3.02 | (2), (5), (15) gives: % 16.48/3.02 | (28) d(frankfurt, hamburg) = 390 % 16.48/3.02 | % 16.48/3.02 | GROUND_INST: instantiating (21) with saarbruecken, frankfurt, 160, simplifying % 16.48/3.02 | with (5), (6), (18) gives: % 16.48/3.02 | (29) d(frankfurt, saarbruecken) = 160 % 16.48/3.02 | % 16.48/3.02 | GROUND_INST: instantiating (22) with munich, frankfurt, frankfurt, 300, 300, % 16.48/3.02 | simplifying with (5), (7), (19) gives: % 16.48/3.02 | (30) ? [v0: int] : ($lesseq(0, v0) & d(frankfurt, frankfurt) = v0) % 16.48/3.02 | % 16.48/3.02 | GROUND_INST: instantiating (22) with munich, saarbruecken, saarbruecken, 360, % 16.48/3.02 | 360, simplifying with (6), (7), (20) gives: % 16.48/3.02 | (31) ? [v0: int] : ($lesseq(0, v0) & d(saarbruecken, saarbruecken) = v0) % 16.48/3.02 | % 16.48/3.02 | GROUND_INST: instantiating (22) with munich, frankfurt, saarbruecken, 300, % 16.48/3.02 | 360, simplifying with (5), (6), (7), (19), (20) gives: % 16.48/3.02 | (32) ? [v0: int] : ($lesseq(60, v0) & d(frankfurt, saarbruecken) = v0) % 16.48/3.02 | % 16.48/3.02 | DELTA: instantiating (31) with fresh symbol all_16_0 gives: % 16.48/3.02 | (33) $lesseq(0, all_16_0) & d(saarbruecken, saarbruecken) = all_16_0 % 16.48/3.02 | % 16.48/3.02 | ALPHA: (33) implies: % 16.48/3.02 | (34) d(saarbruecken, saarbruecken) = all_16_0 % 16.48/3.02 | % 16.48/3.02 | DELTA: instantiating (24) with fresh symbol all_19_0 gives: % 16.48/3.02 | (35) $lesseq(-160, all_19_0) & d(berlin, kiel) = all_19_0 % 16.48/3.02 | % 16.48/3.02 | ALPHA: (35) implies: % 16.75/3.02 | (36) d(berlin, kiel) = all_19_0 % 16.75/3.02 | % 16.75/3.02 | DELTA: instantiating (27) with fresh symbol all_25_0 gives: % 16.75/3.02 | (37) $lesseq(-300, all_25_0) & d(frankfurt, kiel) = all_25_0 % 16.75/3.02 | % 16.75/3.02 | ALPHA: (37) implies: % 16.75/3.02 | (38) d(frankfurt, kiel) = all_25_0 % 16.75/3.02 | % 16.75/3.02 | DELTA: instantiating (26) with fresh symbol all_28_0 gives: % 16.75/3.02 | (39) $lesseq(300, all_28_0) & d(kiel, frankfurt) = all_28_0 % 16.75/3.02 | % 16.75/3.02 | ALPHA: (39) implies: % 16.75/3.02 | (40) d(kiel, frankfurt) = all_28_0 % 16.75/3.02 | % 16.75/3.02 | DELTA: instantiating (30) with fresh symbol all_40_0 gives: % 16.75/3.02 | (41) $lesseq(0, all_40_0) & d(frankfurt, frankfurt) = all_40_0 % 16.75/3.02 | % 16.75/3.02 | ALPHA: (41) implies: % 16.75/3.02 | (42) d(frankfurt, frankfurt) = all_40_0 % 16.75/3.02 | % 16.75/3.02 | DELTA: instantiating (25) with fresh symbol all_43_0 gives: % 16.75/3.02 | (43) $lesseq(-270, all_43_0) & d(cologne, kiel) = all_43_0 % 16.75/3.02 | % 16.75/3.02 | ALPHA: (43) implies: % 16.75/3.02 | (44) d(cologne, kiel) = all_43_0 % 16.75/3.02 | % 16.75/3.02 | DELTA: instantiating (32) with fresh symbol all_55_0 gives: % 16.75/3.02 | (45) $lesseq(60, all_55_0) & d(frankfurt, saarbruecken) = all_55_0 % 16.75/3.02 | % 16.75/3.02 | ALPHA: (45) implies: % 16.75/3.02 | (46) d(frankfurt, saarbruecken) = all_55_0 % 16.75/3.02 | % 16.75/3.02 | GROUND_INST: instantiating (function-axioms) with 160, all_55_0, saarbruecken, % 16.75/3.02 | frankfurt, simplifying with (29), (46) gives: % 16.75/3.02 | (47) all_55_0 = 160 % 16.75/3.02 | % 16.75/3.03 | GROUND_INST: instantiating (22) with kiel, frankfurt, saarbruecken, all_28_0, % 16.75/3.03 | all_6_0, simplifying with (1), (5), (6), (11), (40) gives: % 16.75/3.03 | (48) ? [v0: int] : ($lesseq(all_6_0, $sum(v0, all_28_0)) & d(frankfurt, % 16.75/3.03 | saarbruecken) = v0) % 16.75/3.03 | % 16.75/3.03 | GROUND_INST: instantiating (22) with kiel, hamburg, frankfurt, 90, all_28_0, % 16.75/3.03 | simplifying with (1), (2), (5), (23), (40) gives: % 16.75/3.03 | (49) ? [v0: int] : ($lesseq(-90, $difference(v0, all_28_0)) & d(hamburg, % 16.75/3.03 | frankfurt) = v0) % 16.75/3.03 | % 16.75/3.03 | GROUND_INST: instantiating (22) with berlin, kiel, frankfurt, all_19_0, 420, % 16.75/3.03 | simplifying with (1), (3), (5), (16), (36) gives: % 16.75/3.03 | (50) ? [v0: int] : ($lesseq(420, $sum(v0, all_19_0)) & d(kiel, frankfurt) % 16.75/3.03 | = v0) % 16.75/3.03 | % 16.75/3.03 | GROUND_INST: instantiating (22) with cologne, kiel, frankfurt, all_43_0, 150, % 16.75/3.03 | simplifying with (1), (4), (5), (17), (44) gives: % 16.75/3.03 | (51) ? [v0: int] : ($lesseq(150, $sum(v0, all_43_0)) & d(kiel, frankfurt) % 16.75/3.03 | = v0) % 16.75/3.03 | % 16.75/3.03 | GROUND_INST: instantiating (21) with frankfurt, kiel, all_25_0, simplifying % 16.75/3.03 | with (1), (5), (38) gives: % 16.75/3.03 | (52) d(kiel, frankfurt) = all_25_0 % 16.75/3.03 | % 16.75/3.03 | GROUND_INST: instantiating (22) with frankfurt, hamburg, frankfurt, 390, % 16.75/3.03 | all_40_0, simplifying with (2), (5), (28), (42) gives: % 16.75/3.03 | (53) ? [v0: int] : ($lesseq(-390, $difference(v0, all_40_0)) & d(hamburg, % 16.75/3.03 | frankfurt) = v0) % 16.75/3.03 | % 16.75/3.03 | GROUND_INST: instantiating (22) with frankfurt, kiel, frankfurt, all_25_0, % 16.75/3.03 | all_40_0, simplifying with (1), (5), (38), (42) gives: % 16.75/3.03 | (54) ? [v0: int] : ($lesseq(0, $sum($difference(v0, all_40_0), all_25_0)) % 16.75/3.03 | & d(kiel, frankfurt) = v0) % 16.75/3.03 | % 16.75/3.03 | GROUND_INST: instantiating (22) with saarbruecken, frankfurt, saarbruecken, % 16.75/3.03 | 160, all_16_0, simplifying with (5), (6), (18), (34) gives: % 16.75/3.03 | (55) ? [v0: int] : ($lesseq(-160, $difference(v0, all_16_0)) & % 16.75/3.03 | d(frankfurt, saarbruecken) = v0) % 16.75/3.03 | % 16.75/3.03 | DELTA: instantiating (51) with fresh symbol all_104_0 gives: % 16.75/3.03 | (56) $lesseq(150, $sum(all_104_0, all_43_0)) & d(kiel, frankfurt) = % 16.75/3.03 | all_104_0 % 16.75/3.03 | % 16.75/3.03 | ALPHA: (56) implies: % 16.75/3.03 | (57) d(kiel, frankfurt) = all_104_0 % 16.75/3.03 | % 16.75/3.03 | DELTA: instantiating (48) with fresh symbol all_119_0 gives: % 16.75/3.03 | (58) $lesseq(all_6_0, $sum(all_119_0, all_28_0)) & d(frankfurt, % 16.75/3.03 | saarbruecken) = all_119_0 % 16.75/3.03 | % 16.75/3.03 | ALPHA: (58) implies: % 16.75/3.03 | (59) $lesseq(all_6_0, $sum(all_119_0, all_28_0)) % 16.75/3.03 | (60) d(frankfurt, saarbruecken) = all_119_0 % 16.75/3.03 | % 16.75/3.03 | DELTA: instantiating (49) with fresh symbol all_227_0 gives: % 16.75/3.03 | (61) $lesseq(-90, $difference(all_227_0, all_28_0)) & d(hamburg, frankfurt) % 16.75/3.03 | = all_227_0 % 16.75/3.03 | % 16.75/3.03 | ALPHA: (61) implies: % 16.75/3.03 | (62) $lesseq(-90, $difference(all_227_0, all_28_0)) % 16.75/3.03 | (63) d(hamburg, frankfurt) = all_227_0 % 16.75/3.03 | % 16.75/3.03 | DELTA: instantiating (55) with fresh symbol all_257_0 gives: % 16.75/3.03 | (64) $lesseq(-160, $difference(all_257_0, all_16_0)) & d(frankfurt, % 16.75/3.03 | saarbruecken) = all_257_0 % 16.75/3.03 | % 16.75/3.03 | ALPHA: (64) implies: % 16.75/3.03 | (65) d(frankfurt, saarbruecken) = all_257_0 % 16.75/3.03 | % 16.75/3.03 | DELTA: instantiating (50) with fresh symbol all_287_0 gives: % 16.75/3.03 | (66) $lesseq(420, $sum(all_287_0, all_19_0)) & d(kiel, frankfurt) = % 16.75/3.03 | all_287_0 % 16.75/3.04 | % 16.75/3.04 | ALPHA: (66) implies: % 16.75/3.04 | (67) d(kiel, frankfurt) = all_287_0 % 16.75/3.04 | % 16.75/3.04 | DELTA: instantiating (54) with fresh symbol all_365_0 gives: % 16.75/3.04 | (68) $lesseq(0, $sum($difference(all_365_0, all_40_0), all_25_0)) & d(kiel, % 16.75/3.04 | frankfurt) = all_365_0 % 16.75/3.04 | % 16.75/3.04 | ALPHA: (68) implies: % 16.75/3.04 | (69) d(kiel, frankfurt) = all_365_0 % 16.75/3.04 | % 16.75/3.04 | DELTA: instantiating (53) with fresh symbol all_368_0 gives: % 16.75/3.04 | (70) $lesseq(-390, $difference(all_368_0, all_40_0)) & d(hamburg, % 16.75/3.04 | frankfurt) = all_368_0 % 16.75/3.04 | % 16.75/3.04 | ALPHA: (70) implies: % 16.75/3.04 | (71) d(hamburg, frankfurt) = all_368_0 % 16.75/3.04 | % 16.75/3.04 | GROUND_INST: instantiating (function-axioms) with all_28_0, all_287_0, % 16.75/3.04 | frankfurt, kiel, simplifying with (40), (67) gives: % 16.75/3.04 | (72) all_287_0 = all_28_0 % 16.75/3.04 | % 16.75/3.04 | GROUND_INST: instantiating (function-axioms) with all_25_0, all_287_0, % 16.75/3.04 | frankfurt, kiel, simplifying with (52), (67) gives: % 16.75/3.04 | (73) all_287_0 = all_25_0 % 16.75/3.04 | % 16.75/3.04 | GROUND_INST: instantiating (function-axioms) with all_287_0, all_365_0, % 16.75/3.04 | frankfurt, kiel, simplifying with (67), (69) gives: % 16.75/3.04 | (74) all_365_0 = all_287_0 % 16.75/3.04 | % 16.75/3.04 | GROUND_INST: instantiating (function-axioms) with all_104_0, all_365_0, % 16.75/3.04 | frankfurt, kiel, simplifying with (57), (69) gives: % 16.75/3.04 | (75) all_365_0 = all_104_0 % 16.75/3.04 | % 16.75/3.04 | GROUND_INST: instantiating (function-axioms) with 390, all_368_0, frankfurt, % 16.75/3.04 | hamburg, simplifying with (15), (71) gives: % 16.75/3.04 | (76) all_368_0 = 390 % 16.75/3.04 | % 16.75/3.04 | GROUND_INST: instantiating (function-axioms) with all_227_0, all_368_0, % 16.75/3.04 | frankfurt, hamburg, simplifying with (63), (71) gives: % 16.75/3.04 | (77) all_368_0 = all_227_0 % 16.75/3.04 | % 16.75/3.04 | GROUND_INST: instantiating (function-axioms) with 160, all_257_0, % 16.75/3.04 | saarbruecken, frankfurt, simplifying with (29), (65) gives: % 16.75/3.04 | (78) all_257_0 = 160 % 16.75/3.04 | % 16.75/3.04 | GROUND_INST: instantiating (function-axioms) with all_119_0, all_257_0, % 16.75/3.04 | saarbruecken, frankfurt, simplifying with (60), (65) gives: % 16.75/3.04 | (79) all_257_0 = all_119_0 % 16.75/3.04 | % 16.75/3.04 | COMBINE_EQS: (76), (77) imply: % 16.75/3.04 | (80) all_227_0 = 390 % 16.75/3.04 | % 16.75/3.04 | COMBINE_EQS: (74), (75) imply: % 16.75/3.04 | (81) all_287_0 = all_104_0 % 16.75/3.04 | % 16.75/3.04 | SIMP: (81) implies: % 16.75/3.04 | (82) all_287_0 = all_104_0 % 16.75/3.04 | % 16.75/3.04 | COMBINE_EQS: (73), (82) imply: % 16.75/3.04 | (83) all_104_0 = all_25_0 % 16.75/3.04 | % 16.75/3.04 | COMBINE_EQS: (72), (82) imply: % 16.75/3.04 | (84) all_104_0 = all_28_0 % 16.75/3.04 | % 16.75/3.04 | COMBINE_EQS: (78), (79) imply: % 16.75/3.04 | (85) all_119_0 = 160 % 16.75/3.04 | % 16.75/3.04 | COMBINE_EQS: (83), (84) imply: % 16.75/3.04 | (86) all_28_0 = all_25_0 % 16.75/3.04 | % 16.75/3.04 | REDUCE: (62), (80), (86) imply: % 16.75/3.04 | (87) $lesseq(all_25_0, 480) % 16.75/3.04 | % 16.75/3.04 | REDUCE: (59), (85), (86) imply: % 16.75/3.04 | (88) $lesseq(-160, $difference(all_25_0, all_6_0)) % 16.75/3.04 | % 16.75/3.04 | COMBINE_INEQS: (87), (88) imply: % 16.75/3.04 | (89) $lesseq(all_6_0, 640) % 16.75/3.04 | % 16.75/3.04 | COMBINE_INEQS: (10), (89) imply: % 16.75/3.04 | (90) $false % 16.75/3.04 | % 16.75/3.04 | CLOSE: (90) is inconsistent. % 16.75/3.04 | % 16.75/3.04 End of proof % 16.75/3.04 % SZS output end Proof for theBenchmark % 16.75/3.04 % 16.75/3.04 2430ms %------------------------------------------------------------------------------